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221014021213200 = 243521069172290319
BaseRepresentation
bin110010010000001011010110…
…001110011000110000010000
31001222112201211010220102022210
4302100023112032120300100
5212432043203412310300
62102020234545232120
764360510323415155
oct6220132616306020
91058481733812283
10221014021213200
116447057a173286
1220955bb8632640
1396426c06669b7
143c811c852422c
151a841365b0050
hexc902d6398c10

221014021213200 has 120 divisors (see below), whose sum is σ = 708643869385600. Its totient is φ = 58881939079680.

The previous prime is 221014021213189. The next prime is 221014021213213. The reversal of 221014021213200 is 2312120410122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84862360 + ... + 87427959.

Almost surely, 2221014021213200 is an apocalyptic number.

221014021213200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221014021213200 is an abundant number, since it is smaller than the sum of its proper divisors (487629848172400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221014021213200 is a wasteful number, since it uses less digits than its factorization.

221014021213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172291409 (or 172291398 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 221014021213200 its reverse (2312120410122), we get a palindrome (223326141623322).

The spelling of 221014021213200 in words is "two hundred twenty-one trillion, fourteen billion, twenty-one million, two hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1069 1200 2138 3207 4276 5345 6414 8552 10690 12828 16035 17104 21380 25656 26725 32070 42760 51312 53450 64140 80175 85520 106900 128280 160350 213800 256560 320700 427600 641400 1282800 172290319 344580638 516870957 689161276 861451595 1033741914 1378322552 1722903190 2067483828 2584354785 2756645104 3445806380 4134967656 4307257975 5168709570 6891612760 8269935312 8614515950 10337419140 12921773925 13783225520 17229031900 20674838280 25843547850 34458063800 41349676560 51687095700 68916127600 103374191400 184178351011 206748382800 368356702022 552535053033 736713404044 920891755055 1105070106066 1473426808088 1841783510110 2210140212132 2762675265165 2946853616176 3683567020220 4420280424264 4604458775275 5525350530330 7367134040440 8840560848528 9208917550550 11050701060660 13813376325825 14734268080880 18417835101100 22101402121320 27626752651650 36835670202200 44202804242640 55253505303300 73671340404400 110507010606600 221014021213200